{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:WOXAXZBHNQ6ELXPCUOKKZ7CVI2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f315b6f5388da0a3152d91aa7683059a39a770660003a01e25a0df87abb841ed","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2003-10-07T16:05:10Z","title_canon_sha256":"861b85d0e033fdf41cbb24ce4b30939e37363b01db11055695ad5635c7d10188"},"schema_version":"1.0","source":{"id":"astro-ph/0310183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0310183","created_at":"2026-07-04T16:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0310183v1","created_at":"2026-07-04T16:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0310183","created_at":"2026-07-04T16:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"WOXAXZBHNQ6E","created_at":"2026-07-04T16:37:29Z"},{"alias_kind":"pith_short_16","alias_value":"WOXAXZBHNQ6ELXPC","created_at":"2026-07-04T16:37:29Z"},{"alias_kind":"pith_short_8","alias_value":"WOXAXZBH","created_at":"2026-07-04T16:37:29Z"}],"graph_snapshots":[{"event_id":"sha256:ec2835fdabf66b43f68af6e066d3fd9381b79f2b86db99795aa8bef7aa8c1796","target":"graph","created_at":"2026-07-04T16:37:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/0310183/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a general framework to design Godunov-type schemes for multidimensional ideal magnetohydrodynamic (MHD) systems, having the divergence-free relation and the related properties of the magnetic field B as built-in conditions. Our approach mostly relies on the 'Constrained Transport' (CT) discretization technique for the magnetic field components, originally developed for the linear induction equation, which assures div(B)=0 and its preservation in time to within machine accuracy in a finite-volume setting. We show that the CT formalism, when fully exploited, can be used as a general g","authors_text":"L. Del Zanna, P. Londrillo","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2003-10-07T16:05:10Z","title":"On the Divergence-Free Condition in Godunov-Type Schemes for Ideal Magnetohydrodynamics: the Upwind Constrained Transport Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0310183","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:54175745f39f2b6dfa4f47b14ccff09bcf7b3068deb21d2e2e1009453ebe47b8","target":"record","created_at":"2026-07-04T16:37:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f315b6f5388da0a3152d91aa7683059a39a770660003a01e25a0df87abb841ed","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2003-10-07T16:05:10Z","title_canon_sha256":"861b85d0e033fdf41cbb24ce4b30939e37363b01db11055695ad5635c7d10188"},"schema_version":"1.0","source":{"id":"astro-ph/0310183","kind":"arxiv","version":1}},"canonical_sha256":"b3ae0be4276c3c45dde2a394acfc55468fc3c9c874192a82b89a5c2477075749","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3ae0be4276c3c45dde2a394acfc55468fc3c9c874192a82b89a5c2477075749","first_computed_at":"2026-07-04T16:37:29.767952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:37:29.767952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAGYStjkZWx1WCWUOrnJkCDUXBpxdG3wBJh6JQm1NqTqJR1uRGgUIcL0+3NTqJ4oRmHD3mNWraKM6GnV9OkPAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:37:29.768367Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0310183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54175745f39f2b6dfa4f47b14ccff09bcf7b3068deb21d2e2e1009453ebe47b8","sha256:ec2835fdabf66b43f68af6e066d3fd9381b79f2b86db99795aa8bef7aa8c1796"],"state_sha256":"8387c6b19e6263d94099f8262d897397070d262b67f0af95874faca8ddaacf57"}